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Finding the Fourth Proportional to 162,463.82, 223,701.63 and 142,207.34

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Solution

The fourth proportional to 162,463.82, 223,701.63 and 142,207.34 is: 195,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,463.82 : 223,701.63 = 142,207.34 : x
  2. Step 2: Convert to fraction form
    162,463.82/223,701.63 = 142,207.34/x
  3. Step 3: Cross multiply
    162,463.82x = 223,701.63 × 142,207.34
  4. Step 4: Simplify right side
    162,463.82x = 31,812,013,755.96
  5. Step 5: Solve for x
    x = 31,812,013,755.96/162,463.82
  6. Step 6: Final answer
    x = 195,809.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.